1887

Abstract

Summary

A key feature of FWI is the misfit function that considers the point-to-point difference between the observed data and the calculated data, to provide high-resolution imaging using a local optimization approach. However, in the case of slow surface waves propagating in the low velocity medium of the near surface, cycle-skipping can occur, and the optimization may be locked in a local minimum. More robust misfit functions have recently been proposed with the aim of mitigating this problem for surface waves, integrating recipes used for 1D surface wave analysis in FWI and moving to misfit functions in alternative domains. The aim of this study is to define the gradient expression of such misfit functions through a generic adjoint formalism and to present a simple synthetic example showing the more robust behavior of these approaches compared to the classical FWI approach.

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/content/papers/10.3997/2214-4609.20141407
2014-06-16
2024-04-29
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References

  1. Bretaudeau, F., Brossier, R., Leparoux, D., Abraham, O. and Virieux, J.
    [2013] 2D elastic full waveform imaging of the near surface: Application to synthetic and a physical modelling data sets. Near Surface Geophysics, 11, 307–316.
    [Google Scholar]
  2. Brossier, R., Operto, S. and Virieux, J.
    [2009] Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion. Geophysics, 74(6), WCC105–WCC118, doi:10.1190/1.3215771.
    https://doi.org/10.1190/1.3215771 [Google Scholar]
  3. Chavent, G.
    [1974] Identification of parameter distributed systems. In: Goodson, R. and Polis, M. (Eds.)Identification of function parameters in partial differential equations. American Society of Mechanical Engineers, New York, 31–48.
    [Google Scholar]
  4. Masoni, I., Brossier, R., Virieux, J. and Boelle, J.
    [2013] Alternative misfit functions for FWI applied to surface waves. In: EAGE Technical Program Expanded Abstracts 2013. EAGE, Th P10 13.
    [Google Scholar]
  5. Mulder, W. and Plessix, R.E.
    [2008] Exploring some issues in acoustic full waveform inversion. Geophysical Prospecting, 56(6), 827–841.
    [Google Scholar]
  6. Perez Solano, C., Donno, D. and Chauris, H.
    [2013] 2D surface wave inversion in the F-K domain. EAGE Technical Program Expanded Abstracts 2013, EAGE, Th 10 07.
    [Google Scholar]
  7. Plessix, R.E.
    [2006] A review of the adjoint-state method for computing the gradient of a functional with geophysical applications. Geophysical Journal International, 167(2), 495–503.
    [Google Scholar]
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